In the equation below, k and m are constants. If the equation is true for all values of x, what is the value of m? (x − 4)(x − k) = x^2 − 5/3kx + m

6people equally share 56 gummy worms. how many gummy worms does each person get? nine and one sixth gummy worms nine and two sixths gummy worms ten and one sixth gummy worms ten and two eighths gummy worms

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Ms.ortiz sells tomatoes wholesale. the function p(x)=-80x^2+320x-10, graphed below, indicates how much profit she makes on a load of tomatoes if she makes on a load of tomatoes if she sells them for 4-x dollars per kilogram. what should ms.ortiz charge per kilogram of tomatoes to make on a load of tomatoes?